Density = Mass / volume is the original equation.
If we change it to solve for mass:
Mass = (Density)(volume)
Plug in the numbers:
M = (2.70 g/cm^3)(6.0cm^3) = 16.2 g
Hope that helps! :)
Answer:
31/40
Step-by-step explanation:
Given expression:
Note: Both fractions must have same denominators if we want to perform addition, subtraction, multiplication, or division.
The only way to simplify this expression is to have a common denominator, which can be determined by the LCM of 5 and 8.
- ⇒ Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45...
- ⇒ Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72...
Multiply the denominators with such a number that is equivalent to 40.
Note: The number you are multiplying should also be multiplied to the numerator.
Finally, simplify the expression to determine the solution.
Since 31 is a prime number, we can't simplify this fraction. Thus, the final answer is 31/40.
A human has 1 head and 2 legs.
A horse has 1 head and 4 legs.
Let's make two equations from what we know.
There were a total of 74 heads.
There were a total of 196 legs.
Let's call humans 'x' and horses 'y'
The total number of heads were 74.
Humans have 1 head, and so do horses.
Our first equation is:
x + y = 74
There were a total of 196 legs.
Humans have 2 legs, and horses have 4 legs.
Our second equation is:
2x + 4y = 196
Our two equations are:
x + y = 74
2x + 4y = 196
We need to solve this system of equations to find out how many humans and horses were at this racing event.
Multiply the first equation by 2.
2(x + y) = 2(74)
2x + 2y = 148
Our two equations are:
2x + 2y = 148
2x + 4y = 196
Subtract the first equation from the second equation.
2x - 2x + 2y - 4y = 148 - 196
2y - 4y = 148 - 196
-2y = - 48
Divide both sides by -2
y = 24
That means that there were 24 horses.
We can plug back in y = 24 into our first equation to find out how many humans there were.
x + y = 74
x + 24 = 74
x + 24 - 24 = 74 - 24
x = 50
There were 50 humans.
At the horse racing event, there were 24 horses and 50 humans.
Your final answer is B. 24 horses and 50 humans.
For question 11, you essentially need to find when h(t) = 0, since that is when the height of the ball reaches 0 (ie touches the ground).
For question 12, it is asking for a maximum height, so you need to find when dh/dt = 0 and taking the second derivative to prove that there is maximum at t. That will find you the time at which the ball will hit a maximum height.
Rinse and repeat question 12 for question 13
The Recursive formula for an Arithmetic Sequence is a1 = -3, an = an-1 + 6.
<h3>What is Arithmetic sequence ?</h3>
An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k.
Given:
an = -3 + 6(n – 1)
a1= -3
a2= 3
a3 = 9
Here the common difference is 6 and first term is -3
Hence, the recursive formula is a1 = -3, an = an-1 + 6.
Learn more about this concept here:
brainly.com/question/12942847
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